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Finding the Third Proportional to 16,564 and 25,060

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Solution

The third proportional to 16,564 and 25,060 is: 37,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564 : 25,060 = 25,060 : x
  2. Step 2: Convert to fraction form
    16,564/25,060 = 25,060/x
  3. Step 3: Cross multiply
    16,564x = 25,060 × 25,060
  4. Step 4: Simplify right side
    16,564x = 628,003,600
  5. Step 5: Solve for x
    x = 628,003,600/16,564
  6. Step 6: Final answer
    x = 37,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.